hilti_hda_1

16
HDA | Design anchor 6 / 2010 80 HDA Design anchor Anchor version Benefits HDA-P HDA-PR HDA-PF Anchor for pre- setting HDA-T HDA-TR HDA-TF Anchor for through-fasting - suitable for non-cracked and cracked concrete C 20/25 to C 50/60 - mechanical interlock (undercut) - low expansion force (thus small edge distance / spacing) - automatic undercutting (without special undercutting tool) - high loading capacity, performance of a headed stud - complete system (anchor, stop drill bit, setting tool, drill hammer) - setting mark on anchor for control (easy and safe) - completely removable - test reports: fire resistance, fatigue, shock, seismic Concrete Tensile zone Performance of a headed stud Small edge distance and spacing Fire resistance Fatigue Shock Seismic Corrosion resistance Nuclear power plant approval European Technical Approval CE conformity Hilti anchor design software Approvals / certificates Description Authority / Laboratory No. / date of issue European technical approval a) CSTB, Paris ETA-99/0009 / 2008-03-25 ICC-ES report ICC evaluation service ESR 1546 / 2008-03-01 Shockproof fastenings in civil defence installations Bundesamt für Zivilschutz, Bern BZS D 04-221 / 2004-09-02 Nuclear power plants DIBt, Berlin Z-21.1-1696 / 2008-09-01 Dynamic loads DIBt, Berlin Z-21.1-1693 / 2007-05-25 Fire test report IBMB, Braunschweig UB 3039/8151-CM / 2001-01-31 Assessment report (fire) warringtonfire WF 166402 / 2007-10-26 a) All data for HDA-P(R) and HDA-T(R) given in this section according ETA-99/0009, issue 2008-03-25. Sherardized versions HDA-PF and HDA-TF anchors are not covered by the approvals.

Upload: mihnea-bogdan-nicolaescu

Post on 22-Oct-2015

4 views

Category:

Documents


0 download

DESCRIPTION

Hilti_HDA_1

TRANSCRIPT

HDA | Design anchor

6 / 2010

80

HDA Design anchor

Anchor version Benefits

HDA-P HDA-PR HDA-PF Anchor for pre-setting HDA-T HDA-TR HDA-TF Anchor for through-fasting

- suitable for non-cracked and cracked concrete C 20/25 to C 50/60

- mechanical interlock (undercut)

- low expansion force (thus small edge distance / spacing)

- automatic undercutting (without special undercutting tool)

- high loading capacity, performance of a headed stud

- complete system (anchor, stop drill bit, setting tool, drill hammer)

- setting mark on anchor for control (easy and safe)

- completely removable

- test reports: fire resistance, fatigue, shock, seismic

Concrete Tensile zone

Performance of a headed

stud

Small edge distance

and spacing

Fire resistance

Fatigue Shock Seismic Corrosion resistance

Nuclear power plant approval

European Technical Approval

CE conformity

Hilti anchor design software

Approvals / certificates

Description Authority / Laboratory No. / date of issue

European technical approval a) CSTB, Paris ETA-99/0009 / 2008-03-25 ICC-ES report ICC evaluation service ESR 1546 / 2008-03-01 Shockproof fastenings in civil defence installations

Bundesamt für Zivilschutz, Bern BZS D 04-221 / 2004-09-02

Nuclear power plants DIBt, Berlin Z-21.1-1696 / 2008-09-01 Dynamic loads DIBt, Berlin Z-21.1-1693 / 2007-05-25 Fire test report IBMB, Braunschweig UB 3039/8151-CM / 2001-01-31 Assessment report (fire) warringtonfire WF 166402 / 2007-10-26

a) All data for HDA-P(R) and HDA-T(R) given in this section according ETA-99/0009, issue 2008-03-25. Sherardized versions HDA-PF and HDA-TF anchors are not covered by the approvals.

HDA | Design anchor

6 / 2010

81

Basic loading data (for a single anchor)

All data in this section applies to For details see Simplified design method - Correct setting (See setting instruction) - No edge distance and spacing influence - Concrete as specified in the table - Steel failure - Minimum base material thickness - Concrete C 20/25, fck,cube = 25 N/mm² Mean ultimate resistance

Non-cracked concrete Cracked concrete

Anchor size M10 M12 M16 M20 a) M10 M12 M16 M20

a)

Tensile NRu,m

HDA-P(F), HDA-T(F) b) [kN] 48,7 70,9 133,3 203,2 29,4 41,1 88,1 111,6

HDA-PR, HDA-TR [kN] 48,7 70,9 133,3 203,2 29,4 41,1 88,1 111,6

Shear VRu,m

HDA-P, HDA-PF b) [kN] 23,3 31,7 65,6 97,4 23,3 31,7 65,6 97,4

HDA-PR [kN] 24,3 36,0 66,7 - 24,3 36,0 66,7 -

HDA-T, HDA-TF b) c) [kN] 68,8 84,7 148,2 216,9 68,8 84,7 148,2 216,9

HDA-TR c) [kN] 75,1 92,1 160,9 - 75,1 92,1 160,9 -

a) HDA M20: only a galvanized 5µm version is available b) HDA-PF and HDA-TF anchors are not covered by ETA-99/0009 c) Values are valid for minimum thickness of the base plate tfix,min without use of centering washer (see setting

details) Characteristic resistance

Non-cracked concrete Cracked concrete

Anchor size M10 M12 M16 M20 a) M10 M12 M16 M20

a)

Tensile NRk

HDA-P(F), HDA-T(F) b) [kN] 46 67 126 192 25 35 75 95

HDA-PR, HDA-TR [kN] 46 67 126 - 25 35 75 -

Non-cracked and cracked concrete

Anchor size M10 M12 M16 M20 a)

Shear VRk

HDA-P, HDA-PF b) [kN] 22 30 62 92

HDA-PR 23 34 63 -

[mm] 10≤ 15≤ 10≤ 15≤ 20≤ 15≤ 20≤ 25≤ 30≤ 35≤ 20≤ 25≤ 40≤ 55≤ for tfix

[mm] <15 ≤20 <15 <20 ≤50 <20 <25 <30 <35 ≤60 <25 <40 <55 ≤100

HDA-T, HDA-TF b) [kN] 65 c) 65 80 c) 80 100 140 c) 140 155 170 190 205 c) 205 235 250

[mm] 10≤ 15≤ 10≤ 15≤ 20≤ 30≤ 20≤ 25≤ 30≤ 35≤ - for tfix

[mm] <15 ≤20 <15 <20 <30 ≤50 <25 <30 <35 ≤60 -

HDA-TR [kN] 71 c) 71 87 c) 87 94 109 152 c) 152 158 170 -

a) HDA M20: only a galvanized 5µm version is available b) HDA-PF and HDA-TF anchors are not covered by ETA-99/0009 c) With use of centering washer (t = 5 mm) only

HDA | Design anchor

6 / 2010

82

Design resistance

Non-cracked concrete Cracked concrete

Anchor size M10 M12 M16 M20 a) M10 M12 M16 M20

a)

Tensile NRd

HDA-P(F), HDA-T(F) b) [kN] 30,7 44,7 84,0 128,0 16,7 23,3 50,0 63,3

HDA-PR, HDA-TR [kN] 28,8 41,9 78,8 - 16,7 23,3 50,0 -

Non-cracked and cracked concrete

Anchor size M10 M12 M16 M20 a)

Shear VRd

HDA-P, HDA-PF b) [kN] 17,6 24,0 49,6 73,6

HDA-PR 17,3 25,6 47,4 -

[mm] 10≤ 15≤ 10≤ 15≤ 20≤ 15≤ 20≤ 25≤ 30≤ 35≤ 20≤ 25≤ 40≤ 55≤ for tfix

[mm] <15 ≤20 <15 <20 ≤50 <20 <25 <30 <35 ≤60 <25 <40 <55 ≤100

HDA-T, HDA-TF b) [kN] 43 c) 43 53 c) 53 67 93 c) 93 103 113 127 137 c) 137 157 167

[mm] 10≤ 15≤ 10≤ 15≤ 20≤ 30≤ 20≤ 25≤ 30≤ 35≤ - for tfix

[mm] <15 ≤20 <15 <20 <30 ≤50 <25 <30 <35 ≤60 -

HDA-TR [kN] 53 c) 53 65 c) 65 71 82 114 c) 114 119 128 -

a) HDA M20: only a galvanized 5µm version is available b) HDA-PF and HDA-TF anchors are not covered by ETA-99/0009 c) With use of centering washer (t = 5 mm) only Recommended loads

Non-cracked concrete Cracked concrete

Anchor size M10 M12 M16 M20 a) M10 M12 M16 M20

a)

Tensile NRec b)

HDA-P(F), HDA-T(F) c) [kN] 21,9 31,9 60,0 91,4 11,9 16,7 35,7 45,2

HDA-PR, HDA-TR [kN] 20,5 29,9 56,3 - 11,9 16,7 35,7 -

Non-cracked and cracked concrete

Anchor size M10 M12 M16 M20 a)

Shear VRec b)

HDA-P, HDA-PF c) [kN] 12,6 17,1 35,4 52,6

HDA-PR 12,3 18,2 33,8 -

[mm] 10≤ 15≤ 10≤ 15≤ 20≤ 15≤ 20≤ 25≤ 30≤ 35≤ 20≤ 25≤ 40≤ 55≤ for tfix

[mm] <15 ≤20 <15 <20 ≤50 <20 <25 <30 <35 ≤60 <25 <40 <55 ≤100

HDA-T, HDA-TF c) [kN] 31 d) 31 38 d) 38 48 67 d) 67 74 81 90 98 d) 98 112 119

[mm] 10≤ 15≤ 10≤ 15≤ 20≤ 30≤ 20≤ 25≤ 30≤ 35≤ - for tfix

[mm] <15 ≤20 <15 <20 <30 ≤50 <25 <30 <35 ≤60 -

HDA-TR [kN] 38 d) 38 47 d) 47 50 59 82 d) 82 85 91 -

a) HDA M20: only a galvanized 5µm version is available b) With overall partial safety factor for action γF = 1,4. The partial safety factors for action depend on the type of

loading and shall be taken from national regulations. According ETAG 001, annex C, the partial safety factor is γG = 1,35 for permanent actions and γQ = 1,5 for variable actions.

c) HDA-PF and HDA-TF anchors are not covered by ETA-99/0009 d) With use of centering washer (t = 5 mm) only

HDA | Design anchor

6 / 2010

83

Materials

Mechanical properties of HDA

HDA-P(F), HDA-T(F) HDA-PR, HDA-TR Anchor size

M10 M12 M16 M20 a) M10 M12 M16

Anchor bolt

Nominal tensile strength fuk [N/mm²] 800 800 800 800 800 800 800

Yield strength fyk [N/mm²] 640 640 640 640 600 600 600

Stressed cross-section As [mm²] 58,0 84,3 157 245 58,0 84,3 157

Moment of resistance Wel [mm³] 62,3 109,2 277,5 540,9 62,3 109,2 277,5

Characteristic bending resistance without sleeve M0

Rk,s b)

[Nm] 60 105 266 519 60 105 266

Anchor sleeve

Nominal tensile strength fuk [N/mm²] 850 850 700 550 850 850 700

Yield strength fyk [N/mm²] 600 600 600 450 600 600 600 a) HDA M20: only a galvanized 5µm version is available b) The recommended bending moment of the HDA anchor bolt may be calculated from Mrec = MRd,s / γF =

MRk,s / (γMs . γF) = = (1,2 . Wel

. fuk) / (γMs . γF) , where the partial safety factor for bolts of grade 8.8 is γMS = 1,25,

for A4-80 equal to 1,33 and the partial safety factor for action may be taken as γF = 1,4. In case of HDA-T/TR/TF the bending capacity of the sleeve is neglected, only the capacity of the bolt is taken into account.

Material quality

Part Material

HDA-P / HDA-T (Carbon steel version)

Sleeve: Machined steel with brazed tungsten carbide tips, galvanised to min. 5 µm

Bolt M10 - M16: Bolt M20:

Cold formed steel, grade 8.8, galvanised to min. 5 µm Cone machined, rod grade 8.8, galvanised to min. 5 µm

HDA-PR / HDA-TR (Stainless steel version)

Sleeve: Machined stainless steel with brazed tungsten carbide tips

Bolt M10 - M16: Cone/rod: machined stainless steel

HDA-PF / HDA-TF (Sherardized version)

Sleeve: Machined steel with brazed tungsten carbide tips, shearadized

Bolt M10 - M16: Cold formed steel, grade 8.8, shearadized

Anchor dimensions

HDA-P / HDA-PR / HDA-PF

HDA-T / HDA-TR / HDA-TF

SW lS

lB

ØdS ØdB

ØdS ØdB

lS lB SW

HDA | Design anchor

6 / 2010

84

Dimensions of HDA

HDA-P / HDA-PR / HDA-PF / HDA-T / HDA-TR / HDA-TF Anchor size

M10 M12 M16 M20

x100/20 x125/30 x125/50 x190/40 x190/60 x250/50 x250/100

Length code letter I L N R S V X

Total length of bolt lB [mm] 150 190 210 275 295 360 410

Diameter of bolt dB [mm] 10 12 16 20

Total length of sleeve

HDA-P ls [mm] 100 125 125 190 190 250 250

HDA-T ls [mm] 120 155 175 230 250 300 350

Max. diameter of sleeve

dS [mm] 19 21 29 35

Washer diameter dw [mm] 27,5 33,5 45,5 50

Width across flats Sw [mm] 17 19 24 30

Setting

Drilling

The stop drill is required for drilling in order to achieve the correct hole depth.

Anchor

Stop drill bit with

TE-C (SDS plus)

connection end

Stop drill bit with

TE-Y (SDS max)

connection end

HDA-P/ PF/ PR M10x100/20 TE-C-HDA-B 20*100 TE-Y-HDA-B 20*100

HDA-T/ TF/ TR M10x100/20 TE-C-HDA-B 20*120 TE-Y-HDA-B 20*120

HDA-P/ PF/ PR M12*125/30 HDA-P/ PF/ PR M12*125/50

TE-C HDA-B 22*125 TE-Y HDA-B 22*125

HDA-T/ TF/ TR M12*125/30 TE-C HDA-B 22*155 TE-Y HDA-B 22*155

HDA-T/ TF/ TR M12*125/50 TE-C HDA-B 22*175 TE-Y HDA-B 22*175

HDA-P/ PF/ PR M16 *190/40 HDA-P/ PF/ PR M16 *190/60

TE-Y HDA-B 30*190

HDA-T/ TF/ TR M16*190/40 TE-Y HDA-B 30*230

HDA-T/ TF/ TR M16*190/60 TE-Y HDA-B 30*250

HDA-P M20 *250/50 HDA-P M20 *250/100

TE-Y HDA-B 37*250

HDA-T M20*250/50 TE-Y HDA-B 37*300

HDA-T M20*250/100 TE-Y HDA-B 37*350

Setting Drilling hammer Setting tool

The setting system (tool and setting tool) is required for transferring the specific energy for the undercutting process.

HDA | Design anchor

6 / 2010

85

Setting HDA carbon steel version Technical data of the required drilling

hammer

Anchor

TE 24 a)

TE 25 a)

TE 35

TE 40

TE 40 AVR

TE 50

TE 56 b)

TE 56-ATC b)

TE 75 b)

TE 76 b)

TE 76-ATC b)

TE 70 b)

TE 70-ATC b) Setting tool

Single impact

energy [J]

Speed under load [1/min]

� � TE-C-HDA-ST 20 M10 3,5 - 4,9 250 - 555 HDA-P/T20-M10*100/20

� TE-Y-HDA-ST 20 M10 6,5 - 7,5 480 - 500

� � TE-C-HDA-ST 22 M12 3,5 - 4,9 250 - 555 HDA-P/T 22-M12*125/30

HDA-P/T 22-M12*125/50 � TE-Y-HDA-ST 22 M12 6,5 - 7,5 480 - 500

HDA-P/T 30-M16*190/40

HDA-P/T 30-M16*190/60 � � � TE-Y-HDA-ST 30 M16 8,0 - 11,0 250 - 360

HDA-P/T 37-M20*250/50

HDA-P/T 37-M20*250/100 � � TE-Y-HDA-ST 37 M20 8,3 - 11,0 280 - 360

a) 1st gear b) max. impact energy

Setting of HDA- R stainless steel Technical data of the required drilling

hammer

Anchor

TE 24 a)

TE 25 a)

TE 35

TE 40

TE 40 AVR

TE 50

TE 56 b)

TE 56-ATC b)

TE 75 b)

TE 76 b)

TE 76-ATC b)

TE 70 b)

TE 70-ATC b)

Setting tool

Single impact

energy [J]

Speed under load [1/min]

� � � TE-C-HDA-ST 20 M10 3,5 - 4,9 250 - 620 HDA-PR/TR20-M10*100/20

� TE-Y-HDA-ST 20 M10 6,5 - 7,5 480 - 500

� � � TE-C-HDA-ST 22 M12 3,5 - 4,9 250 - 620 HDA-PR/TR 22-M12*125/30

HDA-PR/TR 22-M12*125/50 � TE-Y-HDA-ST 22 M12 6,5 - 7,5 480 - 500

HDA-PR/TR 30-M16*190/40

HDA-PR/TR 30-M16*190/60 � � � TE-Y-HDA-ST 30 M16 8,0 - 11,0 250 - 360

a) 1st gear b) max. impact energy

Setting of HDA- F sherardized version (not covered by approvals) Technical data of the required drilling

hammer

Anchor

TE 24 a)

TE 25 a)

TE 35

TE 40

TE 40 – AVR

TE 50

TE 56 b)

TE 56-ATC b)

TE 75 b)

TE 76 b)

TE 76-ATC b)

TE 70 b)

TE 70-ATC b)

Setting tool

Single impact

energy [J]

Speed under load [1/min]

HDA-PF/TF 20-M10*100/20 � TE-C-HDA-ST 20 M10 3,5 – 4,0 610 - 630

HDA-PF/TF 22-M12*125/30

HDA-PF/TF 22-M12*125/50 � TE-C-HDA-ST 22 M12 3,5 – 4,0 610 - 630

HDA-PF/TF 30-M16*190/40

HDA-PF/TF 30-M16*190/60 � � � TE-Y-HDA-ST 30 M16 8,0 - 11,0 250 - 360

a) 1st gear b) max. impact energy

HDA | Design anchor

6 / 2010

86

Setting instruction HDA-P, HDA-PR, HDA-PF

HDA-T, HDA-TR, HDA-TF

HDA | Design anchor

6 / 2010

87

HDA-F-CW, HDA-R-CW (to be set with HDA-T, HDA-TF, HDA-TR)

For detailed information on installation see instruction for use given with the package of the product.

Setting details

HDA-P / HDA-PR / HDA-PF

HDA-T / HDA-TR / HDA-TF

Marking

hS

df

h1

hmin

tfix hef

df

h1

hmin

hef tfix

hS

HDA | Design anchor

6 / 2010

88

HDA-P / HDA-PR / HDA-PF / HDA-T / HDA-TR / HDA-TF Anchor size

M10 M12 M16 M20

x100/20 x125/30 x125/50 x190/40 x190/60 x250/50 x250/100

Head marking I L N R S V X

Nominal drill bit diameter

d0 [mm] 20 22 30 37

dcut,min [mm] 20,10 22,10 30,10 37,15 Cutting diameter of drill bit dcut,max [mm] 20,55 22,55 30,55 37,70

Depth of drill hole a) h1 ≥ [mm] 107 133 203 266

Anchorage depth hef [mm] 100 125 190 250

hs,min [mm] 2 2 2 2 Sleeve recess

hs,max [mm] 6 7 8 8

Torque moment Tinst [Nm] 50 80 120 300

For HDA-P/-PF/-PR

Clearance hole df [mm] 12 14 18 22

Minimum base material thickness

hmin [mm] 180 200 270 350

tfix,min [mm] 0 0 0 0 Fixture thickness

tfix,max [mm] 20 30 50 40 60 50 100

For HDA-T/-TF/-TR

Clearance hole df [mm] 21 23 32 40

Minimum base material thickness

hmin [mm] 200-tfix 230-tfix 250-tfix 310-tfix 330-tfix 400-tfix 450-tfix

Min. fixture thickness

-Tension load only! tfix,min [mm] 10 10 15 20 50

-Shear load - without use of centering washer

tfix,min [mm] 15 15 20 25 50

-Shear load - with

use of centering washer tfix,min

b) [mm] 10 10 15 20 -

Max. fixture thickness tfix,max [mm] 20 30 50 40 60 50 100

a) use specified stop drill bit b) with use of centering washer a reduction of tfix,min is possible for shear loading, details see ETA-99/0009

HDA | Design anchor

6 / 2010

89

Setting parameters

HDA-P / HDA-PR / HDA-PF / HDA-T / HDA-TR / HDA-TF Anchor size

M10 M12 M16 M20

x100/20 x125/30 x125/50 x190/40 x190/60 x250/50 x250/100

Minimum spacing smin [mm] 100 125 190 250

Minimum edge distance

cmin [mm] 80 100 150 200

Critical spacing for splitting failure

scr,sp [mm] 300 375 570 750

Critical edge distance for splitting failure

ccr,sp [mm] 150 190 285 375

Critical spacing for concrete cone failure

scr,N [mm] 300 375 570 750

Critical edge distance for concrete cone failure

ccr,N [mm] 150 190 285 375

For spacing (edge distance) smaller than critical spacing (critical edge distance) the design loads have to be reduced. Critical spacing and critical edge distance for splitting failure apply only for non-cracked concrete. For cracked concrete only the critical spacing and critical edge distance for concrete cone failure are decisive.

Simplified design method

Simplified version of the design method according ETAG 001, Annex C. Design resistance according data given in ETA-99/0009, issue 2008-03-23.

� Influence of concrete strength � Influence of edge distance � Influence of spacing � Valid for a group of two anchors. (The method may also be applied for anchor groups

with more than two anchors or more than one edge. The influencing factors must then be considered for each edge distance and spacing. The calculated design loads are then on the save side: They will be lower than the exact values according ETAG 001, Annex C. To avoid this, it is recommended to use the anchor design software PROFIS anchor)

The design method is based on the following simplification: � No different loads are acting on individual anchors (no eccentricity)

The values are valid for one anchor. For more complex fastening applications please use the anchor design software PROFIS Anchor.

HDA | Design anchor

6 / 2010

90

Tension loading

The design tensile resistance is the lower value of

- Steel resistance: NRd,s

- Concrete pull-out resistance: NRd,p = N0Rd,p ⋅⋅⋅⋅ fB

- Concrete cone resistance: NRd,c = N0Rd,c ⋅⋅⋅⋅ fB ⋅⋅⋅⋅ f1,N ⋅⋅⋅⋅ f2,N ⋅⋅⋅⋅ f3,N ⋅⋅⋅⋅ fre,N

- Concrete splitting resistance (only non-cracked concrete): NRd,sp = N

0Rd,c ⋅⋅⋅⋅ fB ⋅⋅⋅⋅ f1,sp ⋅⋅⋅⋅ f2,sp ⋅⋅⋅⋅ f3,sp ⋅⋅⋅⋅ f h,sp ⋅⋅⋅⋅ fre,N

Basic design tensile resistance Design steel resistance NRd,s

Anchor size M10 M12 M16 M20 a)

HDA-P(F), HDA-T(F) [kN] 30,7 44,7 84,0 128,0 NRd,s

HDA-PR, HDA-TR [kN] 28,8 41,9 78,8 -

a) HDA M20: only a galvanized 5µm version is available

Design pull-out resistance a) NRd,p = N0Rd,p ⋅⋅⋅⋅ fB (only in cracked concrete)

Non-cracked concrete Cracked concrete

Anchor size M10 M12 M16 M20 b) M10 M12 M16 M20

b)

N0Rd,p [kN] - - - - 16,7 23,3 50,0 63,3

a) Design pull-out resistance is not decisive in non-cracked concrete b) HDA M20: only a galvanized 5µm version is available

Design concrete cone resistance NRd,c = N0Rd,c ⋅⋅⋅⋅ fB ⋅⋅⋅⋅ f1,N ⋅⋅⋅⋅ f2,N ⋅⋅⋅⋅ f3,N ⋅⋅⋅⋅ fre,N

Design splitting resistance a) NRd,sp = N0Rd,c ⋅⋅⋅⋅ fB ⋅⋅⋅⋅ f1,sp ⋅⋅⋅⋅ f2,sp ⋅⋅⋅⋅ f3,sp ⋅⋅⋅⋅ f h,sp ⋅⋅⋅⋅ fre,N

Non-cracked concrete Cracked concrete

Anchor size M10 M12 M16 M20 b) M10 M12 M16 M20

b)

N0Rd,c [kN] 38,7 54,1 101,4 153,1 27,7 38,7 72,5 109,3

a) Splitting resistance must only be considered for non-cracked concrete b) HDA M20: only a galvanized 5µm version is available

Influencing factors Influence of concrete strength

Concrete strength designation (ENV 206)

C 20/25 C 25/30 C 30/37 C 35/45 C 40/50 C 45/55 C 50/60

fB = (fck,cube/25N/mm²)1/2 a) 1 1,1 1,22 1,34 1,41 1,48 1,55

a) fck,cube = concrete compressive strength, measured on cubes with 150 mm side length

HDA | Design anchor

6 / 2010

91

Influence of edge distance a)

c/ccr,N

c/ccr,sp 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1

f1,N = 0,7 + 0,3⋅c/ccr,N ≤ 1

f1,sp = 0,7 + 0,3⋅c/ccr,sp ≤ 1 0,73 0,76 0,79 0,82 0,85 0,88 0,91 0,94 0,97 1

f2,N = 0,5⋅(1 + c/ccr,N) ≤ 1

f2,sp = 0,5⋅(1 + c/ccr,sp) ≤ 1 0,55 0,60 0,65 0,70 0,75 0,80 0,85 0,90 0,95 1

a) The edge distance shall not be smaller than the minimum edge distance cmin given in the table with the setting details. These influencing factors must be considered for every edge distance.

Influence of anchor spacing a)

s/scr,N

s/scr,sp 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1

f3,N = 0,5⋅(1 + s/scr,N) ≤ 1

f3,sp = 0,5⋅(1 + s/scr,sp) ≤ 1 0,55 0,60 0,65 0,70 0,75 0,80 0,85 0,90 0,95 1

a) The anchor spacing shall not be smaller than the minimum anchor spacing smin given in the table with the setting details. This influencing factor must be considered for every anchor spacing.

Influence of base material thickness

h/hef 2 2,2 2,4 2,6 2,8 3 3,2 3,4 3,6 ≥ 3,68

f h,sp = [h/(2⋅hef)]2/3 1 1,07 1,13 1,19 1,25 1,31 1,37 1,42 1,48 1,5

Influence of reinforcement

Anchor size M8 M10 M12 M16 M20 M24

fre,N = 0,5 + hef/200mm ≤ 1 0,8 a) 0,85 a) 0,9 a) 1 1 1

a) This factor applies only for dense reinforcement. If in the area of anchorage there is reinforcement with a spacing ≥ 150 mm (any diameter) or with a diameter ≤ 10 mm and a spacing ≥ 100 mm, then a factor fre,N = 1 may be applied.

Shear loading

The design shear resistance is the lower value of

- Steel resistance: VRd,s

- Concrete pryout resistance: VRd,cp = V0Rd,cp ⋅⋅⋅⋅ fB ⋅⋅⋅⋅ f1,N ⋅⋅⋅⋅ f2,N ⋅⋅⋅⋅ f3,N ⋅⋅⋅⋅ fre,N

- Concrete edge resistance: VRd,c = V0Rd,c ⋅⋅⋅⋅ fB ⋅⋅⋅⋅ fß ⋅⋅⋅⋅ f h ⋅⋅⋅⋅ f4

HDA | Design anchor

6 / 2010

92

Basic design shear resistance Design steel resistance VRd,s

Anchor size M10 M12 M16 M20 a)

HDA-P, HDA-PF [kN] 17,6 24,0 49,6 73,6

HDA-PR [kN] 17,3 25,6 47,4 -

HDA-T, HDA-TF b) [kN] 43,3 53,3 93,3 136,7 VRd,s

HDA-TR b) [kN] 53,4 65,4 114,3 -

a) HDA M20: only a galvanized 5µm version is available b) Values are valid for minimum thickness of the base plate tfix,min. For characteristic resistance to shear loads with

thicker base plates see ETA-99/0009 or use PROFIS software.

Design concrete pryout resistance VRd,cp = V0Rd,cp ⋅⋅⋅⋅ fB ⋅⋅⋅⋅ f1,N ⋅⋅⋅⋅ f2,N ⋅⋅⋅⋅ f3,N ⋅⋅⋅⋅ fre,N

Non-cracked concrete Cracked concrete

Anchor size M10 M12 M16 M20 a) M10 M12 M16 M20

a)

V0Rd,cp [kN] 77,5 108,3 202,9 306,2 55,3 77,3 144,9 218,7

a) HDA M20: only a galvanized 5µm version is available

Design concrete edge resistance a) VRd,c = V0Rd,c ⋅⋅⋅⋅ fB ⋅⋅⋅⋅ fß ⋅⋅⋅⋅ f h ⋅⋅⋅⋅ f4

Non-cracked concrete Cracked concrete

Anchor size M10 M12 M16 M20 b) M10 M12 M16 M20

b)

cmin [mm] 80 100 150 200 80 100 150 200

V0Rd,c [kN] 8,5 12,8 26,1 45,0 6,1 9,2 18,6 32,1

a) For anchor groups with more than two anchors only the anchors close to the edge must be considered. b) HDA M20: only a galvanized 5µm version is available

Influencing factors Influence of concrete strength

Concrete strength designation (ENV 206)

C 20/25 C 25/30 C 30/37 C 35/45 C 40/50 C 45/55 C 50/60

fB = (fck,cube/25N/mm²)1/2 a) 1 1,1 1,22 1,34 1,41 1,48 1,55

a) fck,cube = concrete compressive strength, measured on cubes with 150 mm side length Influence of edge distance a)

c/ccr,N 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1

f1,N = 0,7 + 0,3⋅c/ccr,N ≤ 1 0,73 0,76 0,79 0,82 0,85 0,88 0,91 0,94 0,97 1

f2,N = 0,5⋅(1 + c/ccr,N) ≤ 1 0,55 0,60 0,65 0,70 0,75 0,80 0,85 0,90 0,95 1

a) The edge distance shall not be smaller than the minimum edge distance cmin given in the table with the setting details. These influencing factors must be considered for every edge distance.

Influence of anchor spacing a)

s/scr,N 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1

f3,N = 0,5⋅(1 + s/scr,N) ≤ 1 0,55 0,60 0,65 0,70 0,75 0,80 0,85 0,90 0,95 1

a) The anchor spacing shall not be smaller than the minimum anchor spacing smin given in the table with the setting details. This influencing factor must be considered for every anchor spacing.

HDA | Design anchor

6 / 2010

93

Influence of dense reinforcement

Anchor size M8 M10 M12 M16 M20 M24

fre,N = 0,5 + hef/200mm ≤ 1 0,8 a) 0,85 a) 0,9 a) 1 1 1

a) This factor applies only for dense reinforcement. If in the area of anchorage there is reinforcement with a spacing ≥ 150 mm (any diameter) or with a diameter ≤ 10 mm and a spacing ≥ 100 mm, then a factor fre,N = 1 may be applied.

Influence of angle between load applied and the direction perpendicular to the free edge

Angle ß 0° - 55° 60° 65° 70° 75° 80° 85° 90° - 180°

1 1,07 1,14 1,23 1,35 1,50 1,71 2

Influence of base material thickness

h/c 0,15 0,3 0,45 0,6 0,75 0,9 1,05 1,2 1,35 ≥ 1,5

f h = {h/(1,5 ⋅ c)} 2/3 ≤ 1 0,22 0,34 0,45 0,54 0,63 0,71 0,79 0,86 0,93 1,00

Influence of anchor spacing and edge distance a) for concrete edge resistance: f4

f4 = (c/hef)1,5 ⋅⋅⋅⋅ (1 + s / [3 ⋅⋅⋅⋅ c]) ⋅⋅⋅⋅ 0,5

Group of two anchors s/hef c/hef Single anchor 0,75 1,50 2,25 3,00 3,75 4,50 5,25 6,00 6,75 7,50 8,25 9,00 9,75 10,50 11,25

0,50 0,35 0,27 0,35 0,35 0,35 0,35 0,35 0,35 0,35 0,35 0,35 0,35 0,35 0,35 0,35 0,35 0,75 0,65 0,43 0,54 0,65 0,65 0,65 0,65 0,65 0,65 0,65 0,65 0,65 0,65 0,65 0,65 0,65 1,00 1,00 0,63 0,75 0,88 1,00 1,00 1,00 1,00 1,00 1,00 1,00 1,00 1,00 1,00 1,00 1,00 1,25 1,40 0,84 0,98 1,12 1,26 1,40 1,40 1,40 1,40 1,40 1,40 1,40 1,40 1,40 1,40 1,40 1,50 1,84 1,07 1,22 1,38 1,53 1,68 1,84 1,84 1,84 1,84 1,84 1,84 1,84 1,84 1,84 1,84 1,75 2,32 1,32 1,49 1,65 1,82 1,98 2,15 2,32 2,32 2,32 2,32 2,32 2,32 2,32 2,32 2,32 2,00 2,83 1,59 1,77 1,94 2,12 2,30 2,47 2,65 2,83 2,83 2,83 2,83 2,83 2,83 2,83 2,83 2,25 3,38 1,88 2,06 2,25 2,44 2,63 2,81 3,00 3,19 3,38 3,38 3,38 3,38 3,38 3,38 3,38 2,50 3,95 2,17 2,37 2,57 2,77 2,96 3,16 3,36 3,56 3,76 3,95 3,95 3,95 3,95 3,95 3,95 2,75 4,56 2,49 2,69 2,90 3,11 3,32 3,52 3,73 3,94 4,15 4,35 4,56 4,56 4,56 4,56 4,56 3,00 5,20 2,81 3,03 3,25 3,46 3,68 3,90 4,11 4,33 4,55 4,76 4,98 5,20 5,20 5,20 5,20 3,25 5,86 3,15 3,38 3,61 3,83 4,06 4,28 4,51 4,73 4,96 5,18 5,41 5,63 5,86 5,86 5,86 3,50 6,55 3,51 3,74 3,98 4,21 4,44 4,68 4,91 5,14 5,38 5,61 5,85 6,08 6,31 6,55 6,55 3,75 7,26 3,87 4,12 4,36 4,60 4,84 5,08 5,33 5,57 5,81 6,05 6,29 6,54 6,78 7,02 7,26 4,00 8,00 4,25 4,50 4,75 5,00 5,25 5,50 5,75 6,00 6,25 6,50 6,75 7,00 7,25 7,50 7,75 4,25 8,76 4,64 4,90 5,15 5,41 5,67 5,93 6,18 6,44 6,70 6,96 7,22 7,47 7,73 7,99 8,25 4,50 9,55 5,04 5,30 5,57 5,83 6,10 6,36 6,63 6,89 7,16 7,42 7,69 7,95 8,22 8,49 8,75 4,75 10,35 5,45 5,72 5,99 6,27 6,54 6,81 7,08 7,36 7,63 7,90 8,17 8,45 8,72 8,99 9,26 5,00 11,18 5,87 6,15 6,43 6,71 6,99 7,27 7,55 7,83 8,11 8,39 8,66 8,94 9,22 9,50 9,78 5,25 12,03 6,30 6,59 6,87 7,16 7,45 7,73 8,02 8,31 8,59 8,88 9,17 9,45 9,74 10,02 10,31

5,50 12,90 6,74 7,04 7,33 7,62 7,92 8,21 8,50 8,79 9,09 9,38 9,67 9,97 10,26 10,55 10,85

a) The anchor spacing and the edge distance shall not be smaller than the minimum anchor spacing smin and the minimum edge distance cmin.

Combined tension and shear loading For combined tension and shear loading see section “Anchor Design”.

HDA | Design anchor

6 / 2010

94

Precalculated values

Design resistance calculated according ETAG 001, Annex C and data given in ETA-99/0009, issue 2008-03-25. All data applies to concrete C 20/25 – fck,cube =25 N/mm². HDA-PF and HDA-TF anchors are not covered by the approval. For HDA-T and HDA-TR anchors the resistance to shear loads is calculated for the minimum thickness of the base plate given in chapter setting details page 87.

Design resistance

Single anchor, no edge effects, shear without lever arm

Non-cracked concrete Cracked concrete

Anchor size M10 M12 M16 M20 M10 M12 M16 M20

Min. base material thickness hmin [mm] 180 200 270 350 180 200 270 350 HDA-T: Min. fixture thickness tfix [mm] 15 15 20 25 15 15 20 25

Tensile NRd

HDA-P(F), HDA-T(F) [kN] 30,7 44,7 84,0 128,0 16,7 23,3 50,0 63,3

HDA-PR, HDA-TR [kN] 28,8 41,9 78,8 - 16,7 23,3 50,0 -

Shear VRd

HDA-P, HDA-PF [kN] 17,6 24,0 49,6 73,6 17,6 24,0 49,6 73,6 HDA-PR [kN] 17,3 25,6 47,4 - 17,3 25,6 47,4 -

HDA-T, HDA-TF [kN] 43,3 53,3 93,3 136,7 43,3 53,3 93,3 136,7 HDA-TR [kN] 53,4 65,4 114,3 - 53,4 65,4 114,3 -

Single anchor, min. edge distance (c = cmin), shear without lever arm

Non-cracked concrete Cracked concrete

Anchor size M10 M12 M16 M20 M10 M12 M16 M20

Min. base material thickness hmin [mm] 180 200 270 350 180 200 270 350 HDA-T: Min. fixture thickness tfix [mm] 15 15 20 25 15 15 20 25

Min. edge distance cmin [mm] 80 100 150 200 80 100 150 200 Tensile NRd

HDA-P(F), HDA-T(F) HDA-PR, HDA-TR

[kN] 25,5 35,9 66,4 100,9 16,7 23,3 47,4 63,3

Shear VRd

HDA-P, HDA-PF HDA-PR HDA-T, HDA-TF HDA-TR

[kN] 8,5 12,8 26,1 45,0 6,1 9,2 18,6 32,1

Double anchor, no edge effects, min. spacing (s = smin), shear without lever arm (load values are valid for one anchor)

Non-cracked concrete Cracked concrete

Anchor size M10 M12 M16 M20 M10 M12 M16 M20

Min. base material thickness hmin [mm] 180 200 270 350 180 200 270 350 HDA-T: Min. fixture thickness tfix [mm] 15 15 20 25 15 15 20 25

Min. spacing smin [mm] 100 125 190 250 100 125 190 250 Tensile NRd

HDA-P(F), HDA-T(F) HDA-PR, HDA-TR

[kN] 25,8 36,0 67,6 102,1 16,7 23,3 48,3 63,3

Shear VRd

HDA-P, HDA-PF [kN] 17,6 24,0 49,6 73,6 17,6 24,0 49,6 73,6 HDA-PR [kN] 17,3 25,6 47,4 - 17,3 25,6 47,4 - HDA-T, HDA-TF [kN] 43,3 53,3 93,3 136,7 36,9 51,4 93,3 136,7

HDA-TR [kN] 51,6 65,4 114,3 - 36,9 51,4 96,6 -

HDA | Design anchor

6 / 2010

95

Recommended loads

Single anchor, no edge effects, shear without lever arm

Non-cracked concrete Cracked concrete

Anchor size M10 M12 M16 M20 M10 M12 M16 M20

in. base material thickness hmin [mm] 180 200 270 350 180 200 270 350 HDA-T: Min. fixture thickness tfix [mm] 15 15 20 25 15 15 20 25

Tensile Nrec

HDA-P(F), HDA-T(F) [kN] 21,9 31,9 60 91,4 11,9 16,6 35,7 45,2

HDA-PR, HDA-TR [kN] 20,6 29,9 56,3 - 11,9 16,6 35,7 -

Shear Vrec

HDA-P, HDA-PF [kN] 12,6 17,1 35,4 52,6 12,6 17,1 35,4 52,6 HDA-PR [kN] 12,4 18,3 33,9 - 12,4 18,3 33,9 HDA-T, HDA-TF [kN] 30,9 38,1 66,6 97,6 30,9 38,1 66,6 97,6

HDA-TR [kN] 38,1 46,7 81,6 - 38,1 46,7 81,6 -

Single anchor, min. edge distance (c = cmin), shear without lever arm

Non-cracked concrete Cracked concrete

Anchor size M10 M12 M16 M20 M10 M12 M16 M20

Min. base material thickness hmin [mm] 180 200 270 350 180 200 270 350 HDA-T: Min. fixture thickness tfix [mm] 15 15 20 25 15 15 20 25

Min. edge distance cmin [mm] 80 100 150 200 80 100 150 200 Tensile Nrec

HDA-P(F), HDA-T(F) HDA-PR, HDA-TR

[kN] 18,2 25,7 47,4 72,1 11,9 16,7 33,9 45,2

Shear Vrec

HDA-P, HDA-PF HDA-PR HDA-T, HDA-TF HDA-TR

[kN] 6,1 9,2 18,6 32,1 4,4 6,5 13,3 22,9

Double anchor, no edge effects, min. spacing (s = smin), shear without lever arm (load values are valid for one anchor)

Non-cracked concrete Cracked concrete

Anchor size M10 M12 M16 M20 M10 M12 M16 M20

Min. base material thickness hmin [mm] 180 200 270 350 180 200 270 350 HDA-T: Min. fixture thickness tfix [mm] 15 15 20 25 15 15 20 25

Min. spacing smin [mm] 100 125 190 250 100 125 190 250 Tensile Nrec

HDA-P(F), HDA-T(F) HDA-PR, HDA-TR

[kN] 18,4 25,7 48,3 72,9 11,9 16,6 34,5 45,2

Shear Vrec

HDA-P, HDA-PF [kN] 12,6 17,1 35,4 52,6 12,6 17,1 35,4 52,6 HDA-PR [kN] 12,4 18,3 33,9 - 12,4 18,3 33,9 - HDA-T, HDA-TF [kN] 30,9 38,1 66,6 97,6 26,4 36,7 66,6 97,6

HDA-TR [kN] 36,9 46,7 81,6 - 26,4 36,7 69,0 -

For the recommended loads an overall partial safety factor for action γ = 1,4 is considered. The partial safety factors for action depend on the type of loading and shall be taken from national regulations. According ETAG 001, annex C, the partial safety factor is γG = 1,35 for permanent actions and γQ = 1,5 for variable actions.